(05.03 mc) part a: explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points) part b: make tables to find the solution to 4x = 2x−2. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 4x = 2x−2 graphically? (2 points)

Step-by-step explanation:

Given that there are two graphs y =4x and y =2x-2

To find the point of intersection, we must find (x,y) which satisfy both the equations.

FOr such a point then we have y coordinates equal and hence 4x=2x-2

Part B:

x    4x      2x-2

-3     -12      -8

-2      -8      -6

-1      -4      -4

0     0        -2

1       4        0

2        8      2

3       12       4

Thus we find that x=-1 is the solution

Part C

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.